Question

Use the functions f(x) = 3x2 +1 and g(x) = 5x – 3 to evaluate or find the composition

function as indicated and its domain
f(g(x)) =
Domain:

Answer 1

f(g(x)) = 75x^2 -90x + 28

Domain: (-∞,∞)

Explanation:

fog = f(5x-3)

f(5x-3) = 3( 5x - 3 )^2 +1

3( 5x - 3 )^2 +1 = 75x^2 -90x + 28